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Finding the Fourth Proportional to 319,010.32, 477,664.44 and 252,586

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Solution

The fourth proportional to 319,010.32, 477,664.44 and 252,586 is: 378,205.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,010.32 : 477,664.44 = 252,586 : x
  2. Step 2: Convert to fraction form
    319,010.32/477,664.44 = 252,586/x
  3. Step 3: Cross multiply
    319,010.32x = 477,664.44 × 252,586
  4. Step 4: Simplify right side
    319,010.32x = 120,651,350,241.84
  5. Step 5: Solve for x
    x = 120,651,350,241.84/319,010.32
  6. Step 6: Final answer
    x = 378,205.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.